# Mathematics

## Mission Statement

The Rutland High School Mathematics Department provides students with the opportunity to develop the  mathematical  background  required to meet their specific goals (higher education, military, work force) as well as the necessary skills for life.

Students should be able to solve problems using a variety of tools, including, but not limited  to logic, reasoning, mathematics and technology.

Upon completion of a 3 – 4 year program at Rutland High School, students should have an understanding of the role of mathematics outside the academic setting

## Knowledge and Skills

Mathematical expectations for graduates of Rutland High School:

1. The ability to set up problems with the appropriate operations.

2. Knowledge of a variety of techniques to approach and work on  problems.

3. Understanding of the underlying mathematical features of a problem.

4. The ability to work with others on problems.

5. The ability to see the applicability of mathematical ideas to common and complex problems.

6. Preparation for open problem situations, since most real problems are not well formulated.

7. Belief in the use and value of mathematics.

### Mathematics Department Goals

1. Students should extend the properties of exponents to rational exponents.
2. Students should be able to use properties of rational and irrational numbers.
3. Students should reason quantitatively and use units to solve problems.
4. Students should perform arithmetic operations with complex numbers.
5. Students can represent complex numbers on the complex plane.
6. Students can work with matrices and vectors.
7. Students can see and interpret the structure in expressions.
8. Students can perform arithmetic with polynomials and rational expressions.
9. Students can create equations that describe numbers or relationships.
10. Students can reason with equations and inequalities using one variable, systems of equations and graphic representations.
11. Students can interpret functions by understanding the concept of a function and using function notation and relevant representations.
12. Students can build functions from existing functions or models a relationship between two quantities.
13. Students can construct and compare linear, quadratic and exponential models.
14. Students can prove and apply trigonometric functions.